Moritz Egert

On non-autonomous maximal regularity for elliptic operators in divergence form

We consider the Cauchy problem for non-autonomous forms inducing elliptic operators in divergence form with Dirichlet, Neumann, or mixed boundary conditions on an open subset

Convergence of subdiagonal Padé approximations of C 0 -semigroups

{\Omega \subseteq \mathbb{R}^n}

The Kato Square Root Problem for mixed boundary conditions

Ω⊆Rn. We obtain maximal regularity in

On Kato's conjecture and mixed boundary conditions

{L^2(\Omega)}

Non-local Gehring lemmas

L2(Ω) if the coefficients are bounded, uniformly elliptic, and satisfy a scale invariant bound on their fractional time-derivative of order one-half. Previous results even for such forms required control on a time-derivative of order larger than one-half.

Characterizations of Sobolev functions that vanish on a part of the boundary

On a domain